I evidently don't know the right thing to look for. The last thing in my document is a table. There is no paragraph after it. I can go on adding rows to the table with the context menu, or add paragraphs to a cell of the table by pressing 'return'.
But I can't seem to add a paragraph after the table without doing something hacky like cutting the table, inserting to newlines, and then pasting the table back.
There should be a way to do this, but I can't find the key words to find it either in google or the pages handbook.
(Haven't used any ms or open document document things for a long time, so when I had a need for a document full of tables I bought Pages. I like it pretty well).